I don't understand this problem. Can someone please help me?

Problem:

Lim [ cos(π+Δx) +1 ] / Δx

Δx -> 0

Hint: cos(x+y)=cosx cosy-sinx siny

My attempt:

[cosπ cosΔx + sinπ sinΔx + 1]/ Δx

[-1 cosΔx + 0 sinΔx +1 ]/ Δx

(-cosΔx + 1)/ Δx

I don't know what to do from here. I want to get rid of Δx from the denominator, but I don't know how to. Can someone please help me?